Promising avenues for future research on methods for estimating marginal
likelihoods of phylogenetic models include continued work on reference
distributions that are as similar to the posterior as possible, but easy to
formulate and use.
This would improve the performance and applicability of the GSS and derivations
of the GHM approach.
Currently, the most promising method that works solely from a posterior
sample is IDR.
Making this method easier to apply to phylogenetic models and implementing
it in popular Bayesian phylogenetic software packages,
like
RevBayes [1]}
and
BEAST [2]}, [3]}
would be very useful, though nontrivial.
